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**Problem**: A sample of nitrogen gas at 298 K and 745 torr has a volume of 37.42 L. What volume will it occupy if the pressure is increased to 894 torr at constant temperature? a. 22.3 L b. 31.2 L c. 44.9L d. 112 L e. 380 L

###### FREE Expert Solution

###### FREE Expert Solution

At 298 K, a sample of N_{2} gas has a volume of **37.42 L** and a pressure of **745 torr**.

We’re being asked to **determine the volume of the gas sample** if the pressure changes to **894 torr** at a constant temperature.

Recall that the ** ideal gas law** is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The ** pressure and volume of a gas** are related to the number of moles, gas constant and temperature. The value

**nRT is constant**.

###### Problem Details

A sample of nitrogen gas at 298 K and 745 torr has a volume of 37.42 L. What volume will it occupy if the pressure is increased to 894 torr at constant temperature?

a. 22.3 L

b. 31.2 L

c. 44.9L

d. 112 L

e. 380 L

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Our tutors have indicated that to solve this problem you will need to apply the The Ideal Gas Law Derivations concept. You can view video lessons to learn The Ideal Gas Law Derivations Or if you need more The Ideal Gas Law Derivations practice, you can also practice The Ideal Gas Law Derivations practice problems .

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