Work done by 0.1 mole of a gas at 27^∘ C to double its volume at constant Pressure is Cal. R=2

step 1 Hello friends in the question it is given that work done by 0 .1 mole of gas mole of gas at 20 d

Work done by 0.1 mole of a gas at 27^∘ C to double its...

Work done by $0.1$ mole of a gas at $27^{\circ} \mathrm{C}$ to double its volume at constant Pressure is $\quad$ Cal. $R=2\left\{(\mathrm{Cal}) /\left(\mathrm{mol}^{\circ} \mathrm{K}\right)\right\}$
(A) 600
(B) 546
(C) 60
(D) 54

Key Concepts

Energy Units (Calorie)

The calorie is a unit of energy commonly used in the context of heat in thermodynamics. When working with thermodynamic equations that involve energy, it is important to consistently use units, and knowing the conversion factors between calorie-based and joule-based measurements is crucial for accurate calculations.

Temperature Conversion

Temperature conversion, particularly from Celsius to Kelvin, is a standard procedure in thermodynamics. Since Kelvin is the SI unit for thermodynamic temperature, converting Celsius temperatures (by adding 273.15) ensures that calculations in gas laws and other equations are accurate and dimensionally consistent.

Isobaric Process

An isobaric process is one in which the pressure remains constant while other state variables like volume and temperature can change. This type of process is common in thermodynamics and is essential when analyzing work done by or on the gas during expansion or compression.

Ideal Gas Law

The ideal gas law, summarized by the equation PV = nRT, relates the pressure, volume, temperature, and number of moles of a gas. It is a foundational principle in thermodynamics that allows one to predict how changes in a gas's state variables will affect its behavior in ideal conditions.

Work Done in Thermodynamic Processes

In thermodynamics, work done by or on a gas during expansion or compression is a measure of energy transfer. Under constant pressure conditions, the work done by a gas can be calculated using the formula W = P?V, where ?V represents the change in volume.

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