Problem

In a system the pressure and mass are kept constant. The initial temperature of the system is \( 8.2^{\circ} \mathrm{C} \) and the volume is \( 5.8 \mathrm{~m}^{3} \). If the temperature changes to \( 257^{\circ} \mathrm{C} \) what is the volume?

Answer

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Answer

\( V_2 = 5.8 \mathrm{~m}^{3} \cdot \frac{257 + 273.15}{8.2 + 273.15} \)

Steps

Step 1 :\( \frac{V_2}{V_1} = \frac{T_2}{T_1} \)

Step 2 :\( V_2 = V_1 \cdot \frac{T_2}{T_1} \)

Step 3 :\( V_2 = 5.8 \mathrm{~m}^{3} \cdot \frac{257 + 273.15}{8.2 + 273.15} \)

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