Question #172251

A sample of hydrogen gas at 341 K experiences a change in volume from 5.49 L to 3.12 L. If its new pressure is 3.48 atm at 215 K, what was its original pressure in atmospheres?

Expert's answer

**Q172251**

A sample of hydrogen gas at 341 K experiences a change in volume from 5.49 L to 3.12 L. If its new pressure is 3.48 atm at 215 K, what was its original pressure in atmospheres?'

**Solution: **

Initial temperature of hydrogen gas is 341K.

Volume of sample of hydrogen gas changed from 5.49 L to 3.12L, so

V _{initial } = 5.49 L and V_{ final } = 3.12 L.

New pressure is 3.48 atm at 215K, which means

P_{ final }= 3.48 atm and T_{ final} = 215 K.

We have to find the original pressure ( initial ) in 'atm',

P_{ initial} = unknown ; P_{ final } = 3.48 atm

V_{ initial} = 5.49 L ; V _{final } = 3.12 L

T_{ initial} = 341 K ; T_{ final } = 215 K

We can use the combined gas equation here.

Substitute all the given information in the formula, we have

divide both the side by 0.01610 L/K, we have

In the question all the quantities are given in 3 significant figure, so our final answer must also

be in 3 significant figure.

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