Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Kinetic Theory

Question:

A flask is filled with 13 g of an ideal gas at 27oC and its temperature is raised to 52oC. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52oC, the pressure remaining the same is : 

Options:

2.5 g

2.0 g

1.5 g

1.0 g

Correct Answer:

1.0 g

Explanation:

\(PV \propto\) mass of gas x temperature

In this problem, pressure and volume remain constant.

So : \(M_1 T_1 = M_2 T_2\) = constant

\(\frac{M_2}{M_1} = \frac{T_1}{T_2} = \frac{27 + 273}{52 + 273} = \frac{300}{325} = \frac{12}{13}\)

\(M_2 = M_1 \frac{12}{13}\)

\(M_2 = 13* \frac{12}{13}\) = 12 g1 g

i.e. the mass of gas released from the flask : 13 g - 12 g =