What pressure is exerted by 0.750 mol of a gas at 0 °C and a volume of 5
L?
2.1 atm
3.4 atm
4.98 atm
760 atm

3.4 atm

Explanation:

Given that:

Volume of gas V = 5L

(since 1 liter = 1dm3

5L = 5dm3)

Temperature T = 0°C

Convert Celsius to Kelvin

(0°C + 273 = 273K)

Pressure P = ?

Number of moles of gas n = 0.75 moles

Note that Molar gas constant R is a constant with a value of 0.0821 atm dm3 K-1 mol-1

Then, apply ideal gas equation

pV = nRT

p x 5dm3 = 0.75 moles x (0.0821 atm dm3 K-1 mol-1 x 273K)

p x 5dm3 = 16.8 atm dm3

p = (16.8 atm dm3 / 5dm3)

p = 3.4 atm

Thus, a pressure of 3.4 atm is exerted by the gas.

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