Solve for the new pressure in each of the following, with n and V constant:A gas with a pressure of 1.05 atm at 90 ∘C is cooled to -18 ∘C A sample of N2 with a pressure of 790 mmHg at -85 ∘C is heated to 33 ∘C.
1)
Given:
Pi = 1.05 atm
Ti = 90.0 oC
= (90.0+273) K
= 363 K
Tf = -18.0 oC
= (-18.0+273) K
= 255 K
use:
Pi/Ti = Pf/Tf
1.05 atm / 363.0 K = Pf / 255.0 K
Pf = 0.7376 atm
Answer: 0.738 atm
B)
Given:
Pi = 790 mmHg
Ti = -85.0 oC
= (-85.0+273) K
= 188 K
Tf = 33.0 oC
= (33.0+273) K
= 306 K
use:
Pi/Ti = Pf/Tf
790 mmHg / 188.0 K = Pf / 306.0 K
Pf = 1286 mmHg
= 1286/760 atm
= 1.69 atm
Answer: 1.69 atm
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