A gas cylinder can safely handle pressures up to 75.0 atm. If the gas pressure in the cylinder is 63.3 atm at 15 ◦C, what is the highest safe temperature for this cylinder? Assume ideal-gas behavior and V, n = constant. T(K) = T(◦C) + 273.
(A) 17.8 ◦C (B) 68 ◦C (C) 243 ◦C (D) 291 ◦C (E) 341 ◦C
Given:
Ti = 15.0 oC
= (15.0+273) K
= 288 K
Pi = 63.3 atm
Pf = 75.0 atm
use:
Pi/Ti = Pf/Tf
63.3 atm / 288.0 K = 75.0 atm / Tf
Tf = 341 K
= (341 - 273) oC
= 68 oC
Answer: B
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