If I have a sealed enclosure full of water (constant volume) at 25˚C at atmospheric pressure, I then heat the water to 50˚C. Would the pressure in the sealed enclosure change?
If the pressure has changed, how would I go about calculating the change?
Answer
Yes, at constant density, the pressure increases as the temperature does:
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For example, having water sealed at atmospheric pressure at $4\sideset{^{\circ}}{}{\mathrm{C}}$ will have a density of approximately $1 \frac{\mathrm{g}}{\mathrm{cm}^3}$. If we increase the temperature to $30\sideset{^{\circ}}{}{\mathrm{C}}$, maintaining the density (since the enclosure is sealed), the pressure will rise up to $100 \, \mathrm{bar}$.
Find equations describing the rate of change here.
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