If the temperature of 10 mole of ideal gas is changed from 0^∘ C to 100^∘ C at constant pressure

step 1 In this question we have given the temperature of 10 mall of ideal gas is changed from 0 degrees

If the temperature of 10 mole of ideal gas is changed from...

If the temperature of 10 mole of ideal gas is changed from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$ at constant pressure of $2 \mathrm{~atm}$, then the work done in the process is $(R=8.3 \mathrm{~J} / \mathrm{mol}-\mathrm{K})$ (a) $8.3 \times 10^{-3} \mathrm{~J}$ (b) $8.3 \times 10^{-2} \mathrm{~J}$ (c) $8.3 \times 10^{4} \mathrm{~J}$ (d) $8.3 \times 10^{3} \mathrm{~J}$

If the temperature of 10 mole of ideal gas is changed from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$ at constant pressure of $2 \mathrm{~atm}$, then the work done in the process is $(R=8.3 \mathrm{~J} / \mathrm{mol}-\mathrm{K})$
(a) $8.3 \times 10^{-3} \mathrm{~J}$
(b) $8.3 \times 10^{-2} \mathrm{~J}$
(c) $8.3 \times 10^{4} \mathrm{~J}$
(d) $8.3 \times 10^{3} \mathrm{~J}$

Key Concepts

Temperature Conversion

Temperature conversion, particularly converting from degrees Celsius to Kelvin, is crucial in thermodynamic calculations. Since the ideal gas law and related equations require absolute temperatures, it is important to convert temperatures to Kelvin by adding 273.15 to the Celsius value.

Work in Thermodynamic Processes

Work in thermodynamic processes refers to the energy transferred when a gas expands or compresses. In an isobaric process, the work done by or on the gas is computed by the product of constant pressure and the change in volume. Understanding this helps in quantifying energy changes in practical engineering and physical systems.

Unit Consistency

Ensuring unit consistency is essential in physics and engineering calculations. For example, when using the universal gas constant with its SI units, pressure, volume, and temperature must also be represented in compatible SI units to ensure correct computation of quantities such as work, energy, and state changes in a system.

Ideal Gas Law

The Ideal Gas Law, stated as PV = nRT, is a fundamental equation in thermodynamics that relates the pressure, volume, temperature, and amount (in moles) of an ideal gas. It provides the basis for understanding how a gas behaves under various conditions and is essential for connecting state variables during processes.

Isobaric Process

An isobaric process is one that takes place at constant pressure. In such a process, the work done by the gas is directly related to the change in volume, and can be calculated using the relationship W = P?V. This concept is critical when analyzing energy transfer in systems where pressure does not vary.

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