Answer :
The new volume of the ideal gas is 1.50 L.
The new volume of the ideal gas can be determined using the combined gas law. The combined gas law equation is as follows:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
where P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures.
Given:
P1 = 1.50 atm
V1 = 5.00 L
T1 = 268 K
P2 = 5.00 atm
T2 = 353 K
Using the combined gas law equation, we can solve for V2, the new volume:
(1.50 atm * 5.00 L) / (268 K) = (5.00 atm * V2) / (353 K)
Simplifying the equation, we have:
7.50 atm·L / K = 5.00 atm·V2 / K
Cross-multiplying, we get:
7.50 atm·L * K = 5.00 atm·V2
Dividing both sides of the equation by 5.00 atm, we find:
V2 = (7.50 atm·L * K) / 5.00 atm
Simplifying further, we have:
V2 = 1.50 L
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