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A carbon dioxide in a tank is at 12 atm and 27 °C. What will be the new pressure if the tank
is heated to 100 °C?​

Sagot :

Theterabithiaidn

Answer:

GASES: GAY-LUSSAC’S LAW

A carbon dioxide in a tank is at 12 atm and 27 °C. What will be the new pressure if the tank is heated to 100 °C?

GIVEN:

\rm P_1 = 12\: atmP

1

=12atm

\rm T_1 = 27\:\degree CT

1

=27°C

\rm T_2= 100\:\degree CT

2

=100°C

SOLUTION:

Rearrange the equation \rm P_1T_2 = P_2T_1P

1

T

2

=P

2

T

1

to get the equation that will solve for \rm P_2P

2

.

\rm P_2=\frac{P_1T_2}{T_1}P

2

=

T

1

P

1

T

2

Substitute all the given values to solve for the final temperature. The unit °C is cancelled out to give the final unit which is atm.

\rm P_2=\frac{P_1T_2}{T_1}P

2

=

T

1

P

1

T

2

\rm P_2=\frac{(12\:atm)(100\:\degree C)}{27\:\degree C}P

2

=

27°C

(12atm)(100°C)

\rm P_2=\frac{120\: atm}{27}P

2

=

27

120atm

P_2=4.44 atm

P

2

=4.44atm

The new pressure if the tank is heated to 100 °C is 2.44 atm.

MissMystiqueidn

Answer:

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