20.0 dm³ of an ideal gas ‘X’ at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct?

Question

20.0 $d m ³$ of an ideal gas ‘X’ at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct?

(Given: log 2 = 0.3010 and log 5 = 0.6989) [2026]

Smart Achievers · Accepted Answer

(2)

$For isothermal reversible process Δ U = Δ H = 0$

$w_{iso} = - p_{1} V_{1} \ln \frac{P_{1}}{P_{2}}$

$w_{iso} = - 0.5 \times 10^{6} \times 20 \times 10^{- 3} \ln \frac{0.5}{0.2}$

$w_{iso} = - 0.5 \times 10^{6} \times 20 \times 10^{- 3} \times 2.303 \times (0.6989 - 0.3010)$

$w \approx - 9.1 kJ$

$q = - w = 9.1 kJ$

Solution

Q.
20.0 $d m ³$ of an ideal gas ‘X’ at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct

(Given: log 2 = 0.3010 and log 5 = 0.6989) [2026]

1 $w = 9.1 J, Δ U = 9.1 J, Δ H = 0; q = 0$

2 $w = - 9.1 k J, Δ U = 0, Δ H = 0, q = 9.1 k J$

3 $w = + 4.1 k J, Δ U = 0, Δ H = 0; q = - 4.1 k J$

4 $w = - 3.9 k J, Δ U = 0, Δ H = 0; q = 3.9 k J$

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Solution

Q. 20.0 dm³ of an ideal gas ‘X’ at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct (Given: log 2 = 0.3010 and log 5 = 0.6989) [2026]

1 w=9.1J, ΔU=9.1J, ΔH=0; q=0

2 w=−9.1kJ, ΔU=0, ΔH=0, q=9.1kJ

3 w=+4.1kJ, ΔU=0, ΔH=0; q=−4.1kJ

4 w=−3.9kJ, ΔU=0, ΔH=0; q=3.9kJ