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### 65cm of dry hydrogen gas was collected over mercury at 23°C and 592mmHg. what is...

65cm of dry hydrogen gas was collected over mercury at 23°C and 592mmHg. what is the pressure of the same volume of the gas if the temperature is increased to 30°C?

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Robert
2 months ago
Good morning.

Let:
P1= initial pressure= 592mmHg
T1= initial temperature= 23°C= 296K
P2= Final pressure= ymmHg
T2= final temperature= 30°C= 303K

Recall, Pressure law states that at constant volume, the pressure of a given gas is directly proportional to its temperature in a given medium.

Thus, P= BT, where B is a constant of proportionality.

B= P/T, B1= P1/T1, B2= P2/T2, B1= B2; (P1/T1)= (P2/T2).

(592/296)= (y/303)
y= (592/296) × 303
= (2) × 303
= 606mmHg.

Therefore, the pressure of the same volume of the gas if the temperature is increased to 30°C is 606mmHg.

Thank you.
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