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The pressure of the gas in a constant-volume gas thermometer is 100 cm of mercury when the bulb is placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. The temperature of the liquid is (given 0°C=273 K)

Asked in JEE Main 30th June 1st Shift 2022 · State Variables and the Zeroth Law

• (1) 300 K
• (2) 400 K
• (3) 600 K
• (4) 491 K

Step-by-step solution

Why the other options are wrong

• (1) comes from is roughly room temperature; the pressure ratio has been left out entirely
• (2) comes from corresponds to a pressure ratio of about 1.47 rather than 1.8
• (3) comes from corresponds to a pressure ratio of about 2.2

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