# How much heat needs to be transferred to the ideal gas in the cylinder in order for the internal energy of the gas to increase

How much heat needs to be transferred to the ideal gas in the cylinder in order for the internal energy of the gas to increase by 100 J, and at the same time the gas does the work of 200 J?

The required amount of heat transferred to an ideal gas can be calculated using the formula:
Q = ∆U + A, where Q is the amount of heat transferred to the gas, ∆U is the change in the internal energy of the gas (∆U = 100 J, the gas energy has increased), A is the work against external forces (A = 200 J, the gas does work ).
Let’s calculate the required amount of heat:
Q = ∆U + A = 100 + 200 = 300 J.
Answer: It is necessary to transfer 300 J of heat to an ideal gas.

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