Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 20172 April

Exam: JEE Main
Year: 2017
Date: 2 April
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2017 · 2 April · Physics · Kinetic Theory of Gases

The temperature of an open room of volume 30 m ^ 3 increases from...

The temperature of an open room of volume

30{m}^{3}

increases from

17 ° C

to

27 ° C

due to the sunshine. The atmospheric pressure in the room remains

1 \times {10}^{5}Pa

. If

{n}_{i}

and

{n}_{f}

are the number of molecules in the room before and after heating, then

{n}_{f} - {n}_{i}

will be:

Options

A $- 2.5 \times {10}^{25}$
B $- 1.61 \times {10}^{23}$
C $1.38 \times {10}^{23}$
D $2.5 \times {10}^{25}$

Correct answer

A. $- 2.5 \times {10}^{25}$

Step-by-step solution

${T}_{i} = 273 + 17 = 290K$

${T}_{f} = 273 + 27 = 300K$

From ideal gas equation, $PV = nRT ⇒ n = \dfrac{PV}{RT}$

${n}_{f} - {n}_{i} = \dfrac{PV}{R}\left[\dfrac{1}{{T}_{f}} - \dfrac{1}{{T}_{i}}\right]$ $= - 2.5 \times {10}^{25}$

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another… JEE Main 2026 Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026 Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026 One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and… JEE Main 2026 A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K… JEE Main 2026 The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C… JEE Main 2026 A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has… JEE Main 2026 Consider two boxes containing ideal gases A and B such that their temperatures, pressures… JEE Main 2026 Full Kinetic Theory of Gases list All JEE Main PYQs