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The total kinetic energy of 1 mole of oxygen at 27°C is [Use universal gas constant (R) = 8.31 J/mole K]

Asked in JEE Main 27th Jan 2nd Shift 2024 · Internal energy of a gas

• (1) 5670.5 J
• (2) 6845.5 J
• (3) 5942.0 J
• (4) 6232.5 J

Step-by-step solution

Why the other options are wrong

• (1) Comes from using T=273 K instead of 300 K, i.e. forgetting the 27°C.
• (2) Comes from rounding 5/2 R up, using about 22.8 rather than 20.78 J mol⁻¹K⁻¹.
• (3) Comes from a slip in the temperature conversion, taking 27°C as about 286 K.

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