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Solve the following. Calculate the volume of 1 mole of a gas at exactly 20 °C at a pressure of 101.35 kPa.

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Question

Solve the following.

Calculate the volume of 1 mole of a gas at exactly 20°C at a pressure of 101.35 kPa.

Numerical
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Solution

Given:
n = number of moles = 1 mol,
P = pressure = 101.35 kPa = 1.00025 atm ≈ 1 atm
T = Temperature = 20°C = 20 + 273.15 K = 293.15 K
R = 0.0821 dm3 atm K–1 mol–1

To find: Volume (V)

Formula: PV = nRT

Calculation:
According to ideal gas equation,

PV = nRT

∴ V = `("nRT")/"P"`

∴ V = `(1xx0.0821xx293.15)/1`

∴ V = 24.07 dm3

The volume of the given gas is 24.07 dm3.

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Chapter 10: States of Matter - Exercises [Page 159]

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Balbharati Chemistry [English] Standard 11 Maharashtra State Board
Chapter 10 States of Matter
Exercises | Q 5. (K) | Page 159

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