To find the new temperature in °C when the pressure changes from 2 atm to 5 atm while the volume remains constant, we can use the combined gas law. The combined gas law equation is:
(P1 * V1) / T1 = (P2 * V2) / T2
Given:
P1 = 2 atm
T1 = 89°C (convert to Kelvin: 89 + 273 = 362 K)
P2 = 5 atm
V1 = V2 (volume remains constant)
Plugging in the values, we have:
(2 * V) / 362 = (5 * V) / T2
Cross multiplying, we get:
10V = 5 * V * 362
Simplifying further:
10V = 1810V
Dividing both sides by V (volume), we find:
10 = 1810
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