Physical Universe
Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Chapter 5, Problem 55E

A certain quantity of hydrogen occupies a volume of 1000 cm3 at 0°C (273 K) and ordinary atmospheric pressure. (a) If the pressure is tripled but the temperature is held constant, what will the volume of the hydrogen be? (b) If the temperature is increased to 273°C but the pressure is held constant, what will the volume of the hydrogen be?

(a)

Expert Solution
Check Mark
To determine

The volume of hydrogen when the pressure is tripled but temperature is kept constant.

Answer to Problem 55E

The volume of hydrogen when the pressure is tripled but temperature is kept constant is 333.33cm3.

Explanation of Solution

Given info: The initial volume of hydrogen is 1000cm3 and the temperature is 0°C.

Write the expression of Boyle’s law for a gas.

p1p2=V2V1(at constant temperature)

Here,

p1 is the initial pressure

p2 is the final pressure

V1 is the initial volume

V2 is the final volume

Solve for V2.

V2=p1V1p2

Given the initial pressure p1 is ordinary atmospheric temperature, and the final pressure is triple of the initial pressure.

p2=3p1

Thus, the expression for V2 can be modified as,

V2=p1V13p1=V13

Substitute 1000cm3 for V1 to find the final volume of hydrogen V2.

V2=1000cm33=333.33cm3

Conclusion:

Therefore, the volume of hydrogen when the pressure is tripled but temperature is kept constant is 333.33cm3.

(b)

Expert Solution
Check Mark
To determine

The volume of hydrogen when the temperature is 273°C but pressure is kept constant.

Answer to Problem 55E

The volume of hydrogen when the temperature is 273°C but pressure is kept constant is 2000cm3.

Explanation of Solution

Given info: The initial volume of hydrogen is 1000cm3, the initial temperature is 0°C and the final temperature is 273°C

Write the expression of Charles’s law for gases.

V1V2=T1T2(at constant pressure)

Here,

V1 is the initial volume

V2 is the final volume

T1 is the initial temperature in Kelvin scale

T2 is the final temperature in Kelvin scale

The initial and final temperatures can be converted to Kelvin scale as, T(K)=T(°C)+273.

T1(K)=0°C+273=273K

T2(K)=273°C+273=546K

Solve for V2.

V2=V1T2T1

Substitute 1000cm3 for V1, 273K for T1 and 546K for T2 to find the final volume of hydrogen.

V2=(1000cm3)(546K)273K=2000cm3

Conclusion:

Therefore, the volume of hydrogen when the temperature is 273°C but pressure is kept constant is 2000cm3.

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Chapter 5 Solutions

Physical Universe

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