A gas is at 35.0°C and 2.50 L.What is the temperature of the gas if the volume is increased to 5.00 L?
A) 343°C
B) 70.0°C
C) 616°C
D) 1.16°C
E) 17.5°C

Question

Quizplus · Accepted Answer

The relationship between temperature and volume for a gas at constant pressure is described by Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin. To find the new temperature when the volume changes, we can use the formula $V_1/T_1 = V_2/T_2$, where $V_1$ and $T_1$ are the initial volume and temperature, and $V_2$ and $T_2$ are the final volume and temperature. Given that the initial temperature is 35.0°C, we first convert it to Kelvin by adding 273.15, giving us 308.15 K. Using the formula with $V_1 = 2.50 L$, $V_2 = 5.00 L$, and $T_1 = 308.15 K$, we solve for $T_2$, which gives us $T_2 = (V_2 \times T_1) / V_1 = (5.00 \times 308.15) / 2.50 = 616.3 K$. Converting back to Celsius by subtracting 273.15 gives us approximately 343°C.

A Gas Is at 35