What happens to the pressure of a given mass of gas if its volume is halved at a constant temperature?
A. It is halved.
B. It is quadrupled.
C. It is doubled.
D. It remains unchanged.
Answer: Option C
Solution (By JKSSB Mock Tests)
According to Boyle's Law, for a given mass of an ideal gas at constant temperature, the pressure is inversely proportional to its volume (P ∝ 1/V, or P1V1 = P2V2). If the volume is halved (V2 = V1/2), the pressure must double (P2 = 2P1) to keep the product constant.
Explanation:
Acceleration a = (v-u)/t = (8-2)/10 = 0.6 m/s². Force F = m×a = 5 × 0.6 = 3 N. Alternatively, impulse = change in momentum = 5×(8-2) = 30 kg m/s, time = 10 s, so average force = 30/10 = 3 N. Always check direction, but magnitude is 3 N.
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