Question:
The work done during reversible isothermal expansion of one mole of hydrogen gas at 25oC from a pressure of 20 atm to 10 atm is:
(Given R = 2.0 cal K-1 mol-1)
The work done during reversible isothermal expansion of one mole of hydrogen gas at 25oC from a pressure of 20 atm to 10 atm is:
(Given R = 2.0 cal K-1 mol-1)
(Given R = 2.0 cal K-1 mol-1)
Updated On: Jan 13, 2026
- 0 calorie
- -413.14 calories
- 413.14 calories
- 100 calories
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
1. For isothermal expansion, work done is calculated as:
\(W = -nRT \ln \frac{P_2}{P_1}\)
2. Substituting the given values:
\(W = -(1) \times (2.0) \times (298) \times \ln \left(\frac{10}{20}\right)\)
3. Simplify:
\(W = -596 \times \ln(0.5) = -596 \times (-0.693) \approx -413.14 \text{ calories}\).
Was this answer helpful?
9
8
Top Questions on Gas laws
- The mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with excess of dilute HCl is: (Given molar mass of Mg = 24 g/mol)
- At 715 mm pressure, 300 K, volume of N\(_2\) (g) evolved was 80 mL by a 0.4 g sample of organic compound. Find the percentage of N in the organic compound. Given aqueous tension at 300 K = 15 mm.
- Statement 1: Hyper conjugation is not a permanent effect Statement 2: In general, greater the number of Alkyl groups attached to a positively charged carbon atom, greater is the Hyper conjugation interaction and stabilization of the cation.
- Amount of magnesium (Mg) (in mg) required to liberate 224 mL of \( H_2 \) gas at STP, when reacted with HCl.
- If \(N_2\) gas is bubbled through water at 293 K, how many moles of \(N_2\) gas would dissolve in 1 litre of water? Assume that \(N_2\) exerts a partial pressure of 0.987 bar. [Given \(K_H\) for \(N_2\) at 293 K is 76.48 K bar]
View More Questions
Questions Asked in NEET exam
- Two cities X and Y are connected by a regular bus service with a bus leaving in either direction every T min. A girl is driving scooty with a speed of 60 km/h in the direction X to Y. She notices that a bus goes past her every 30 minutes in the direction of her motion, and every 10 minutes in the opposite direction. Choose the correct option for the period T of the bus service and the speed (assumed constant) of the buses.
- NEET (UG) - 2025
- Relative Velocity
- A physical quantity P is related to four observations a, b, c, and d as follows: P = a3 b2 (c / √d) The percentage errors of measurement in a, b, c, and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity P is:
- NEET (UG) - 2025
- Dimensional analysis and its applications
What is Microalbuminuria ?
- NEET (UG) - 2025
- Human physiology
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
- NEET (UG) - 2025
- Logic gates
- An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature \(27^\circ\)C. The mass of the oxygen withdrawn from the cylinder is nearly equal to: [Given, \(R = \frac{100}{12} \text{ J mol}^{-1} \text{K}^{-1}\), and molecular mass of \(O_2 = 32 \text{ g/mol}\), 1 atm pressure = \(1.01 \times 10^5 \text{ N/m}^2\)]
- NEET (UG) - 2025
- Ideal-gas equation and absolute temperature
View More Questions