Determine the density of gas at 435 K and 1.00 bar.
A) 2.10 g
B) 0.471 g
C) 0.321 g
D) 2.24 g
E) 0.851 g

Question

Determine the density of  gas at 435 K and 1.00 bar.
A) 2.10 g 
B) 0.471 g 
C) 0.321 g 
D) 2.24 g 
E) 0.851 g

Quizplus · Accepted Answer

To determine the density of a gas at a given temperature and pressure, we can use the ideal gas law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. The density (d) is equal to the mass per unit volume, so we can find it by rearranging the ideal gas law: d = (m/ V) = (Pm/ RT), where m is the mass of the gas.

To use this equation, we need to know the molar mass of the gas. Unfortunately, this is not given in the question, so we cannot calculate the density exactly. However, we can make an estimate by assuming that the gas behaves like an ideal gas and using the molar mass of an average gas (approximately 28 g/mol).

Using this estimate and the given values of P, T, and R, we can calculate the density as follows:

d = (Pm/ RT) = (1.00 bar) (28 g/mol) / (0.0831 L bar/ K mol)(435 K)
d = 0.471 g/L

Therefore, the best choice is B, which is closest to our estimate of the density. Note that the actual molar mass of the gas could be different, which would affect the density significantly.

Determine the Density of Gas at 435 K and 1.00