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Four moles of an ideal diatomic gas is heated at constant volume from 20degreeC to 30degreeC the molar specific heat of the gas at a constant pressure CP is 30.3 J\mol k and R is 8.3J\ mol k the increase in internal energy of the gas is?
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Solution:

Given:
Number of moles (n) = 4
Initial temperature (T1) = 20 °C = 20 + 273 = 293 K
Final temperature (T2) = 30 °C = 30 + 273 = 303 K
Molar specific heat at constant pressure (Cp) = 30.3 J/mol K
Gas constant (R) = 8.3 J/mol K

We need to find the increase in internal energy of the gas.

Step 1: Converting the temperature to Kelvin
The gas laws require temperature to be in Kelvin. We convert the given temperatures to Kelvin using the formula:
T(K) = T(°C) + 273

Initial temperature (T1) = 293 K
Final temperature (T2) = 303 K

Step 2: Calculating the increase in temperature
The increase in temperature (ΔT) is given by the formula:
ΔT = T2 - T1

ΔT = 303 K - 293 K = 10 K

Step 3: Calculating the increase in internal energy
The increase in internal energy (ΔU) is given by the formula:
ΔU = n * Cp * ΔT

Substituting the given values:
ΔU = 4 * 30.3 J/mol K * 10 K
ΔU = 1212 J

Therefore, the increase in internal energy of the gas is 1212 J.
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Four moles of an ideal diatomic gas is heated at constant volume from 20degreeC to 30degreeC the molar specific heat of the gas at a constant pressure CP is 30.3 J\mol k and R is 8.3J\ mol k the increase in internal energy of the gas is?
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Four moles of an ideal diatomic gas is heated at constant volume from 20degreeC to 30degreeC the molar specific heat of the gas at a constant pressure CP is 30.3 J\mol k and R is 8.3J\ mol k the increase in internal energy of the gas is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Four moles of an ideal diatomic gas is heated at constant volume from 20degreeC to 30degreeC the molar specific heat of the gas at a constant pressure CP is 30.3 J\mol k and R is 8.3J\ mol k the increase in internal energy of the gas is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four moles of an ideal diatomic gas is heated at constant volume from 20degreeC to 30degreeC the molar specific heat of the gas at a constant pressure CP is 30.3 J\mol k and R is 8.3J\ mol k the increase in internal energy of the gas is?.
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