Respuesta :
We use
p
1
T
1
=
p
2
T
2
, with
T
in
K
Explanation:
27
o
C
=
27
+
273
K
=
300
K
47
o
C
=
47
+
273
K
=
320
K
The equation above can be re-written to:
p
2
=
T
2
T
1
×
p
1
=
320
300
×
780
=
832
m
m
H
g
Answer: The new pressure is 830 mmHg
Explanation:
To calculate the final pressure of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.
The equation used to calculate new pressure is:
[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]
where,
[tex]P_1\text{ and }T_1[/tex] are the initial pressure and temperature of the gas.
[tex]P_2\text{ and }T_2[/tex] are the final pressure and temperature of the gas.
We are given:
[tex]P_1=780mmHg\\T_1=27^oC=[27+273]K=300K\\P_2=?mmHg\\T_2=47^oC=[47+273]K=320K[/tex]
Putting values in above equation, we get:
[tex]\frac{780mmHg}{300K}=\frac{P_2}{320K}\\\\P_2=\frac{780\times 320}{300}=830mmHg[/tex]
Hence, the new pressure is 830 mmHg
