For an ideal gas undergoing an isothermal expansion, what is the relationship between pressure and volume?

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Multiple Choice

For an ideal gas undergoing an isothermal expansion, what is the relationship between pressure and volume?

Explanation:
Isothermal means temperature stays the same. For an ideal gas, PV = nRT. If T and the amount of gas n are constant, then P = nRT / V, so pressure is inversely proportional to volume. As volume increases, pressure decreases in proportion to 1/V (doubling V halves P). The other options imply pressure that either grows with volume, grows with volume squared, or stays fixed—contradicting PV = nRT when T is constant.

Isothermal means temperature stays the same. For an ideal gas, PV = nRT. If T and the amount of gas n are constant, then P = nRT / V, so pressure is inversely proportional to volume. As volume increases, pressure decreases in proportion to 1/V (doubling V halves P). The other options imply pressure that either grows with volume, grows with volume squared, or stays fixed—contradicting PV = nRT when T is constant.

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