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Question #8802
What is the density of 5 moles of argon at 790 torr and 75 F?
Expert's answer
790
torr
=
105324
,
671
Pa
75
F
=
23
,
8
8
∘
C
=
297
,
04
K
\begin{array}{l} 790 \text{ torr} = 105324,671 \text{ Pa} \\ 75 \text{ F} = 23,88^{\circ} \text{C} = 297,04 \text{ K} \end{array}
790
torr
=
105324
,
671
Pa
75
F
=
23
,
8
8
∘
C
=
297
,
04
K
p
V
=
n
R
T
p
V
=
m
M
R
T
p
M
=
m
V
R
T
p
M
=
ρ
R
T
ρ
=
p
M
R
T
=
105324
,
671
⋅
0
,
03995
8
,
31
⋅
297
,
04
=
1
,
705
g/cm
3
\begin{array}{l} pV = nRT \\ pV = \frac{m}{M} RT \\ pM = \frac{m}{V} RT \\ pM = \rho RT \\ \rho = \frac{pM}{RT} = \frac{105324,671 \cdot 0,03995}{8,31 \cdot 297,04} = 1,705 \text{ g/cm}^3 \end{array}
p
V
=
n
RT
p
V
=
M
m
RT
pM
=
V
m
RT
pM
=
ρRT
ρ
=
RT
pM
=
8
,
31
⋅
297
,
04
105324
,
671
⋅
0
,
03995
=
1
,
705
g/cm
3
Answer:
1
,
705
g/cm
3
1,705 \text{ g/cm}^3
1
,
705
g/cm
3
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on Dec 2023
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