11. A 26.8 L sample of nitrogen at 4.85 atm and 25 deg celusis is simultaneously expanded to 63.8 L and heated to 38 degress celusis. What is the new pressure of the gas.
A. 232 ATM
B. 195 ATM
C. 2.13 ATM
D. 338 ATM
E. 3.10 ATM
12. A 6.08 L cylinder contains 6.59 g of methane, CH4, at a pressure of 3440 mmHg. What is the tempature of the gas?
A. 1090 deg celusis
B. -150 deg celusis
C. 543 deg celusis
D. 5380 deg celusis
E. 816 deg celusis
11)
Given:
Pi = 4.85 atm
Vi = 26.8 L
Vf = 63.8 L
Ti = 25.0 oC
= (25.0+273) K
= 298 K
Tf = 38.0 oC
= (38.0+273) K
= 311 K
use:
(Pi*Vi)/(Ti) = (Pf*Vf)/(Tf)
(4.85 atm*26.8 L)/(298.0 K) = (Pf*63.8 L)/(311.0 K)
Pf = 2.13 atm
Answer: 2.13 atm
12)
Molar mass of CH4,
MM = 1*MM(C) + 4*MM(H)
= 1*12.01 + 4*1.008
= 16.042 g/mol
mass(CH4)= 6.59 g
use:
number of mol of CH4,
n = mass of CH4/molar mass of CH4
=(6.59 g)/(16.04 g/mol)
= 0.4108 mol
Given:
P = 3440.0 mm Hg
= (3440.0/760) atm
= 4.5263 atm
V = 6.08 L
n = 0.4108 mol
use:
P * V = n*R*T
4.5263 atm * 6.08 L = 0.4108 mol* 0.08206 atm.L/mol.K * T
T = 816 K
= (816-273) oC
= 543 oC
Answer: 543 oC
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