a. Explanation Given data: d = 10 cm , p g = 120 psi , h = 30 cm and T = 20 ° C . Formula used: Consider the expression of ideal- gas law . p V = n R T (1) Here, p is the pressure, V is the volume, n is the number of moles, R is the gas constant, which is known as 8.315 J mol ⋅ K , and T is the temperature. Write the expression for gage pressure ( p g ) . p g = p − p atmos (2) Here, p is the absolute pressure, and p atmos is the atmospheric pressure, which is known as 1.0 atm. Write the another expression for number of n moles ( n ) . n = N N A (3) Here, N is number of atoms, and N A is the Avogadro’s number , which is known as 6.02 × 10 23 mol − 1 . Convert the ideal gas temperature from ° C to Kelvin. T = ( 20 + 273 ) K = 293 K Rearrange equation (2). p = p g + p atmos Substitute 120 psi for p g and 1 atm for p atmos , p = 120 psi + 1 atm = 120 psi + 14.7 psi { ∵ 1 atm = 14.7 psi } = 134.7 psi Find the volume of a cylinder ( V ) . V = π r 2 h = π ( d 2 ) 2 h Substitute 10 cm for d and 30 cm for h , V = π ( 10 cm 2 ) 2 ( 30 cm ) = π ( 5 cm ) 2 ( 30 cm ) = π ( 5 × 10 − 2 m ) 2 ( 30 × 10 − 2 m ) { ∵ 1 cm = 1 × 10 − 2 m } = π ( 2 b. To determine To find: The mass of the helium.

College Physics: A Strategic Approach (3rd Edition)

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ISBN: 9780321879721

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 12, Problem 73GP

To determine

To find: How many helium atoms are in cylinder.

To determine

To find: The mass of the helium.

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Chapter 12, Problem 72GP

Chapter 12, Problem 74GP

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Chapter 12 Solutions

College Physics: A Strategic Approach (3rd Edition)

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How many helium atoms are in cylinder.

Solution Summary: The author explains how to convert the ideal gas temperature from °C to Kelvin.

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To find: How many helium atoms are in cylinder.

To find: The mass of the helium.

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Chapter 12 Solutions