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Solve the following. Calculate the pressure in atm of 1.0 mole of helium in a 2.0 dm3 container at 20.0°C.

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Question

Solve the following.

Calculate the pressure in atm of 1.0 mole of helium in a 2.0 dm3 container at 20.0°C.

Numerical
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Solution

Given:
n = number of moles = 1.0 mol,
V = volume = 2.0 dm3
T = Temperature = 20.0°C = 20.0 + 273.15 K = 293.15 K
R = 0.0821 L atm K–1 mol–1

To find: Pressure (P)

Formula: PV = nRT

Calculation:

According to ideal gas equation,

PV = nRT

∴ P = `"nRT"/"V"`

∴ P = `(1.0xx0.0821xx293.15)/2.0`

∴ P = 12.03 atm

The pressure of the given helium gas is 12.03 atm.

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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. (J) | Page 159

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