Chapter U3.17, Problem 3E

Interpretation Introduction

Interpretation: The number of moles of hydrogen gas needs to be determined.

Concept Introduction: The ideal gas equation is represented as follows:

  $PV=nRT$

Here, P is pressure, V is volume, n is number of moles and T is temperature of the gas.

R is Universal gas constant with value $0.082\text{ L atm/K mol}$ .

Answer to Problem 3E

0.131 mol.

Explanation of Solution

The volume, temperature and pressure of the hydrogen gas is given 2 L, 280 K and 1.5 atm respectively.

The ideal gas equation is represented as follows:

  $PV=nRT$

On rearranging,

  $n=\frac{PV}{RT}$

Putting the values to calculate the number of moles of hydrogen gas,

  $n=\frac{\left(1.5\text{ atm}\right)\left(2\text{ L}\right)}{\left(0.082\text{ L atm/K mol}\right)\left(280\text{ K}\right)}=0.131\text{ mol}$

Conclusion

Thus, the number of moles of hydrogen gas is 0.131 mol.