A container holds 1.0 g of oxygen at a pressure of 8.0

Step 1 of 2

a.) We need to find out the amount of heat required to increase the temperature by \(100^{\circ} \mathrm{C}\) at constant pressure.

The number of moles of oxygen is given by,

\(\begin{aligned}n &=\frac{M}{M_{\mathrm{mol}}} \\n &=\frac{1 g}{32 \mathrm{~g} /\mathrm{mol}} \\n &=0.03125 \mathrm{~mol}\end{aligned}\)

In this process the pressure is constant that is the process is isobaric so the amount of heat required is given by,

\(\begin{aligned}&Q=n C_{p} \Delta T \\&Q=(0.03125 \mathrm{~mol})(29.2 \mathrm{~J} / \mathrm{mol} \mathrm{K})\left(100^{\circ} \mathrm{C}\right) \\&Q=91.2 \mathrm{~J} \end{aligned}\)