Question 1

Which of the following is a mathematical statement of the combined gas law?

Accepted Answer

The answer of Which of the following is a mathematical...

Question 2

At constant pressure the temperature of a 4.00 L sample of gas is decreased from 400. K to 300. K. What is the new volume of the gas sample?

Accepted Answer

According to Charles's Law, at a constant pressure, the volume of a gas is directly proportional to its temperature in kelvins. Therefore, we can use the equation V1/T1 = V2/T2 to find the new volume (V2). Plugging in the initial volume (V1 = 4.00 L), the initial temperature (T1 = 400. K), and the final temperature (T2 = 300. K), we get:
4.00 L / 400. K = V2 / 300. K
Solving for V2, we get:
V2 = (4.00 L / 400. K) x 300. K = 3.00 L
Therefore, the new volume of the gas sample is 3.00 L. Answer: C) 3.00 L.

Question 3

Which of the following is a mathematical statement of Boyle's Law?

Accepted Answer

The answer of Which of the following is a mathematical...

Question 4

At constant temperature the pressure on a 10.0 L sample of gas is changed from 1140 torr to 1.00 atm. What is the new volume of the gas sample?

Accepted Answer

Using Boyle's Law (P1V1 = P2V2), convert 1 atm to 760 torr, then solve for V2: (1140 torr)(10.0 L) = (760 torr)(V2), V2 = 15.0 L.

Question 5

Which of the following is a mathematical statement of Gay-Lussac's Law?

Accepted Answer

Gay-Lussac's Law states that at constant volume, the pressure of a gas is directly proportional to its temperature. This can be written mathematically as P₁/T₁ = P₂/T₂, which corresponds to choice D.

Question 6

Suppose a balloon is filled so that its volume is 2.00 L when the pressure is 750 torr and the temperature is 24°C. What volume will it occupy if it rises to an elevation where the pressure is 375 torr and the temperature is 12°C?

Accepted Answer

Using the combined gas law: (P1 * V1) / T1 = (P2 * V2) / T2, where temperatures are in Kelvin. Convert temperatures: 24°C = 297K, 12°C = 285K. Solve for V2: V2 = (P1 * V1 * T2) / (P2 * T1) = (750 torr * 2.00 L * 285 K) / (375 torr * 297 K) = 3.84 L.

Question 7

At constant temperature the pressure on a 6.0 L sample of a gas is reduced from 2.0 atm to 1.0 atm. What is the new volume of the gas sample?

Accepted Answer

According to Boyle's Law (P1V1 = P2V2), if the pressure is halved, the volume will double. So, the new volume is 6.0 L * (2.0 atm / 1.0 atm) = 12 L.

Question 8

At constant pressure the temperature of a 4.00 L sample of gas is increased from 300. K to 400. K. What is the new volume of the gas sample?

Accepted Answer

According to Charles's Law (V1/T1 = V2/T2), the volume of a gas is directly proportional to its temperature at constant pressure. V2 = V1 * (T2/T1) = 4.00 L * (400 K / 300 K) = 5.33 L.

Question 9

Which of the following will occur if the temperature of a gas is increased from 20°C to 40°C at constant pressure?

Accepted Answer

According to Charles' law (assuming the gas is held at constant pressure), the volume of a gas is directly proportional to its temperature in Kelvin. As the temperature increases from 20°C to 40°C, the Kelvin temperature will increase from 293K to 313K. Therefore, the volume of the gas will increase slightly.

Question 10

What temperature scale should be used if we wish to express Charles's Law as a simple direct proportionality?

Accepted Answer

Charles's Law states that the volume of a gas is directly proportional to its absolute temperature at constant pressure. Therefore, if we want to express this law as a simple direct proportionality, we need to use the absolute temperature scale, which is Kelvin. This is because the temperature on the Kelvin scale begins at absolute zero, which is the point at which all molecular motion ceases. Using the Celsius or Fahrenheit scales would not account for this zero point and would not allow us to express the law as a direct proportionality.

Question 11

Which of the following is a mathematical statement of Gay-Lussac's Law?

Accepted Answer

Gay-Lussac's Law states that at constant volume, the pressure of a gas is directly proportional to its temperature. This can be written mathematically as P₁/T₁ = P₂/T₂, which corresponds to choice D.

Question 12

Which of the following is a mathematical statement of Charles's Law?

Accepted Answer

Charles's Law states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature. This can be mathematically expressed as V₁/T₁ = V₂/T₂, which corresponds to choice D.

Question 13

Suppose a balloon is filled so that its volume is 2.00 L when the pressure is 1.10 atm and the temperature is 300 K. What volume will it occupy if it rises to an elevation where the pressure is 418 mm Hg and the temperature is 200 K?

Accepted Answer

The answer of Suppose a balloon is filled so that...

Question 14

The combined gas law combines which gas laws?

Accepted Answer

The combined gas law combines Boyle's law (pressure and volume), Charles's law (volume and temperature), and Gay-Lussac's law (pressure and temperature).

Question 15

Which of the following is a mathematical statement of the combined gas law?

Accepted Answer

The combined gas law is expressed as P1V1/T1 = P2V2/T2, which relates the pressure, volume, and temperature of a gas.

Question 16

At constant pressure the temperature of a 4.0 L sample of gas is decreased from 50. °C to 25 °C. What is the new volume of the gas sample?

Accepted Answer

According to Charles's Law, at constant pressure, the volume of a gas is directly proportional to its temperature in Kelvin. We can convert the given temperatures to Kelvin by adding 273.15 to each value.

Initial temperature = 50 °C + 273.15 = 323.15 K 
Final temperature = 25 °C + 273.15 = 298.15 K

Using the formula V1/T1 = V2/T2, we can find the new volume (V2):

V1 = 4.0 L (given)
T1 = 323.15 K
T2 = 298.15 K

V2 = (V1/T1)T2 = (4.0/323.15)298.15 = 3.69 L

Therefore, the new volume of the gas sample is 3.69 L, which corresponds to choice B.

Question 17

Which of the following is a mathematical statement of Charles's Law?

Accepted Answer

Charles's Law states that the volume of a given amount of gas held at constant pressure is directly proportional to the Kelvin temperature. Therefore, the mathematical statement would involve the variables for volume (V) and temperature (T). Choice C is the only option that includes both V and T, as well as correctly demonstrates their direct relationship.

Question 18

At constant pressure the temperature of a 4.00 L sample of gas is increased from 25 °C to 50.°C. What is the new volume of the gas sample?

Accepted Answer

According to Charles's Law, V1/T1 = V2/T2. Convert temperatures to Kelvin: 25°C = 298 K, 50°C = 323 K. V2 = V1 * (T2/T1) = 4.00 L * (323 K / 298 K) = 4.34 L.

Question 19

At constant temperature the pressure on a 6.0 L sample of gas is increased from 1.0 atm to 2.0 atm. What is the new volume of the gas sample?

Accepted Answer

According to Boyle's Law (P1V1 = P2V2), if the pressure on a gas increases, the volume decreases. Here, P1 = 1.0 atm, V1 = 6.0 L, P2 = 2.0 atm. Solving for V2 gives V2 = (P1V1)/P2 = (1.0 atm * 6.0 L) / 2.0 atm = 3.0 L.

Question 20

At constant temperature the pressure on a 10.0 L sample of gas is changed from 1.00 atm to 1140 torr. What is the new volume of the gas sample?

Accepted Answer

1 atm = 760 torr
Using the formula P1V1 = P2V2,
(1.00 atm)(10.0 L) = (1140 torr)(V2)
V2 = (1.00 atm x 10.0 L) / (1140 torr)
V2 = 0.00877 L or 6.67 L rounded to two significant figures. However, gases cannot have negative volume, so the only reasonable option is B, which is 6.67 L.

Quiz 5: Gases, Liquids, and Solids

Which of the following is a mathematical statement of the combined gas law?

At constant pressure the temperature of a 4.00 L sample of gas is decreased from 400. K to 300. K. What is the new volume of the gas sample?

Which of the following is a mathematical statement of Boyle's Law?

At constant temperature the pressure on a 10.0 L sample of gas is changed from 1140 torr to 1.00 atm. What is the new volume of the gas sample?

Which of the following is a mathematical statement of Gay-Lussac's Law?

Suppose a balloon is filled so that its volume is 2.00 L when the pressure is 750 torr and the temperature is 24°C. What volume will it occupy if it rises to an elevation where the pressure is 375 torr and the temperature is 12°C?

At constant temperature the pressure on a 6.0 L sample of a gas is reduced from 2.0 atm to 1.0 atm. What is the new volume of the gas sample?

At constant pressure the temperature of a 4.00 L sample of gas is increased from 300. K to 400. K. What is the new volume of the gas sample?

Which of the following will occur if the temperature of a gas is increased from 20°C to 40°C at constant pressure?

What temperature scale should be used if we wish to express Charles's Law as a simple direct proportionality?

Which of the following is a mathematical statement of Gay-Lussac's Law?

Which of the following is a mathematical statement of Charles's Law?

Suppose a balloon is filled so that its volume is 2.00 L when the pressure is 1.10 atm and the temperature is 300 K. What volume will it occupy if it rises to an elevation where the pressure is 418 mm Hg and the temperature is 200 K?

The combined gas law combines which gas laws?

Which of the following is a mathematical statement of the combined gas law?

At constant pressure the temperature of a 4.0 L sample of gas is decreased from 50. °C to 25 °C. What is the new volume of the gas sample?

Which of the following is a mathematical statement of Charles's Law?

At constant pressure the temperature of a 4.00 L sample of gas is increased from 25 °C to 50.°C. What is the new volume of the gas sample?

At constant temperature the pressure on a 6.0 L sample of gas is increased from 1.0 atm to 2.0 atm. What is the new volume of the gas sample?

At constant temperature the pressure on a 10.0 L sample of gas is changed from 1.00 atm to 1140 torr. What is the new volume of the gas sample?