Question

What is the pressure of 0.33 moles of nitrogen gas, if ita volume is 15.0 L at -25.0⁰C

Answer 1

Using the ideal gas law $PV =nRT$ , we find that the pressure will be $P =\frac{nRT}{V}$ . Then, we'll substitute and find the pressure, using T = -25 °C = 248.15 K and R = 0.0821 $\frac{atm\cdot L}{mol \cdot K}$ :

$P =\frac{nRT}{V} = \frac{(0.33\,\cancel{mol})(0.0821\frac{atm\cdot \cancel{L}}{\cancel{mol \cdot K}})(248.15\,\cancel{K})}{15.0\,\cancel{L}} = 0.4482\,atm$

In conclusion, the pressure of this gas is P=0.4482 atm.

Reference:

• Chang, R. (2010). Chemistry. McGraw-Hill, New York.