\(n_{\mathrm{1}}\) \(= 200.\ \mathrm{mol}\)
\(T_{\mathrm{1}}\) \(= 300.\ \mathrm{°aC}\)
\(V_{\mathrm{2}}\) \(= 4.000\ \mathrm{m}^{3}\)
\(n_{\mathrm{2}}\) \(= 100.\ \mathrm{mol}\)
\(T_{\mathrm{2}}\) \(= 1300.\ \mathrm{°aC}\)
\(V_{\mathrm{1}}\) \(= 2.780\ \mathrm{m}^{3}\)
\(Δn\) \(= \dfrac{n_{\mathrm{2}} \cdot T_{\mathrm{2}} \cdot V_{\mathrm{1}} - n_{\mathrm{1}} \cdot T_{\mathrm{1}} \cdot V_{\mathrm{2}}}{T_{\mathrm{1}} \cdot V_{\mathrm{2}} + T_{\mathrm{2}} \cdot V_{\mathrm{1}}}\)
\(\ \ \ =\dfrac{100.\ \mathrm{mol} \cdot 1573.\ \mathrm{K} \cdot 2.780\ \mathrm{m}^{3} - 200.\ \mathrm{mol} \cdot 573.\ \mathrm{K} \cdot 4.000\ \mathrm{m}^{3}}{573.\ \mathrm{K} \cdot 4.000\ \mathrm{m}^{3} + 1573.\ \mathrm{K} \cdot 2.780\ \mathrm{m}^{3}}\)
\(\ \ \ =\dfrac{1.573\times 10^{5}\ \mathrm{mol}\ \mathrm{K} \cdot 2.780\ \mathrm{m}^{3} - 1.1463\times 10^{5}\ \mathrm{mol}\ \mathrm{K} \cdot 4.000\ \mathrm{m}^{3}}{2292.6\ \mathrm{K}\ \mathrm{m}^{3} + 4373.4\ \mathrm{K}\ \mathrm{m}^{3}}\)
\(\ \ \ =\dfrac{4.373\times 10^{5}\ \mathrm{mol}\ \mathrm{K}\ \mathrm{m}^{3} - 4.585\times 10^{5}\ \mathrm{mol}\ \mathrm{K}\ \mathrm{m}^{3}}{6666.0\ \mathrm{K}\ \mathrm{m}^{3}}\)
\(\ \ \ =\dfrac{-2.12\times 10^{4}\ \mathrm{mol}\ \mathrm{K}\ \mathrm{m}^{3}}{6666.0\ \mathrm{K}\ \mathrm{m}^{3}}\)
\(\ \ \ =-3.2\ \mathrm{mol}\)