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#pressure volume

2 public questions tagged with this topic.

Which gas law relates pressure and volume when temperature is held constant?

Boyle’s Law describes the inverse relationship between pressure and volume of an ideal gas at constant temperature (PV = constant). As per NCERT, applying relevant law/formula with correct units and sign convention leads to Boyle’s Law. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.

A water sample of volume 1.5litres is compressed by a pressure of 3×106N/m2. If the bulk modulus of water is 2.2×109N/m2

Bulk modulus: B = −pΔVV. Rearrange: ΔVV = −pB = −3×1062.2×109≈−1.36×10−3. Magnitude: 1.36×10−3. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.36×10−3. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.