1a) Under constant pressure a sample of hydrogen gas initially at 27.0 °C and 6.

Question

1a) Under constant pressure a sample of hydrogen gas initially at 27.0 °C and 6.70 L is cooled until its final volume is 1.50 L. What is the final temperature?

1b)

What is the effect on the volume of 1 mol of gas if the pressure changes from 2 atm to 101 kPa while the initial temperature is 305 K and the final temperature is 32 °C?

The volume remains the same

The volume decreases by a factor of 2

The volume decreases by a factor of 4

The volume increases by a factor of 2

The volume increases by a factor of 4

Explanation / Answer

1a)
Ti = 27 oC = (27 + 273)K = 300 K
Vi = 6.70 L
Vf = 1.50 L
Tf = ?

use:
Vi/Ti = Vf/Tf
6.70/300 = 1.50/Tf
Tf = 67.2 K
= (67.2 - 273)
= -205.8 oC

Answer: -205.8 oC

1b)
Pi = 2 atm
Pf = 101 kpa =1 atm
Ti = 305 K
Tf = 32 oC = (32+273) = 305 K

pressure has become half and temperature is not changing

so, volume will dounle

Answer:
The volume increases by a factor of 2

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