1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kumpel [21]
3 years ago
14

A rigid tank contains 7 kg of an ideal gas at 5 atm and 30c. a valve is opened, and half of mass of the gas can escape. the fin

al pressure in the tank is 1.5 atm.calculate the final temperature in the tank.
Physics
2 answers:
Kruka [31]3 years ago
8 0

Answer:

The final temperature of the tank is 181.8 K.

Explanation:

We use ideal gas equation to calculate the final temperature.

And volume remain constant for the given process.  

Further Explanation:

The ideal gas equation is  

PV= mRT

Here,  

P is the pressure,  

V is the volume,  

T is the temperature  

R is the gas constant  

m is the mass of the gas.

The gas equation for the initial state can be written as  

P_{1} V_{1} =m_{1} R T_{1}  

For final state gas equation becomes,

[ P_{2} V_{2} =m_{2} R T_{2}

During the process volume remain constant,

so V_{1} =V_{2} =constant

From both the above equations, we get

\frac{P_{1} }{P_{2} } = \frac{m_{1}T_{1} }{m_{1}T_{2} }

Given: m_{1} = 7kg, m_{2}  =3.5 kg, P_{1} =5 atm, P_{2} = 1.5 atm  and T_{1} = 30^{0} C

Substituting the given values, we get

\frac{5}{1.5}=\frac{(7)(303)}{(3.5)T_{2} }

So final temperature,

T_{2}=  181.8 K

Learn more:

https://brainly.in/question/2663978

Key word:

Ideal gas equation, Isochoric process.  

Readme [11.4K]3 years ago
6 0
The equation of state for an ideal gas is
pV=nRT
where p is the gas pressure, V the volume, n the number of moles, R the gas constant and T the temperature.

The equation of state for the initial condition of the gas is
p_1 V_1 = n_1 R T_1 (1)
While the same equation for the final condition is
p_2 V_2 = n_2 R T_2 (2)

We know that in the final condition, half of the mass of the gas is escaped. This means that the final volume of the gas is half of the initial volume, and also that the final number of moles is half the initial number of moles, so we can write:
V_1 = 2 V_1
n_1 = 2 n_2
If we substitute these relationship inside (1), and we divide (1) by (2), we get
\frac{p_1}{p_2} = \frac{T_1}{T_2}

And since the initial temperature of the gas is T_1 = 30 C=303 K, we can find the final temperature of the gas:
T_2 = T_1  \frac{p_2}{p_1}=(303 K) \frac{1.5 atm}{5.0 atm}=90.9 K
You might be interested in
During nuclear fission, great amounts of energy are produced from
stiks02 [169]
D.very small amounts of mass.
6 0
3 years ago
Read 2 more answers
A block of aluminum had a volume of 17.0 mL and a mass of 45.9g. What is it’s density?
vesna_86 [32]
The density of aluminum is 2.7 g/ml.
4 0
3 years ago
A robin flies a distance of 45963 cm. How far has it flown in kilometers?
alina1380 [7]

Answer:

0.46km

Explanation:

45963cm/100cm=459.63m/1000m=0.45963 or 0.46km

6 0
2 years ago
¿Que trabajo realizas cuando subes una bolsa de la compra cuya masa es 4,5 kg desde el suelo hasta una mesa de 90 cm de altura?¿
WITCHER [35]
We are going to do this today
6 0
3 years ago
The Amazon rainforest has millions of trees down in South America. Pantanal, the largest wetland, or swamp, on Earth sits direct
Vikentia [17]

Answer:The Pantanal is, when the season changes of the river flow, the pantanal shrinks after a few river channels The amazon rainforest has a lot of trees.The vapor rises and condenses it into clouds.Water leaves the forest and comes back, the amazon leaves itself.If the amazon water was not to go by itself everything would be different.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Select the true statement regarding first-order neurons.
    6·1 answer
  • Ellen needs to move a heavy box across the floor and then place it on a shelf that is four feet above the floor. Which use of ma
    15·2 answers
  • What is one way you can state how you feel?
    5·2 answers
  • The amount of water displaced, in water displacement method depends on the *
    6·1 answer
  • Stephan Hawkins worked extensively with theoretical gravitational physics. He is well known for his work with black holes. He pa
    11·2 answers
  • Two loudspeakers are located 4.965 m apart on an outdoor stage. A listener is 12.608 m from one and 18.368 m from the other. Dur
    8·1 answer
  • A pickup truck is carrying a 10.0 kgkg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts
    15·1 answer
  • You hit a hockey puck and it slides across the ice at nearly a constant speed.Is a force keeping it in motion?Explain.
    9·1 answer
  • Interactive Solution 8.29 offers a model for this problem. The drive propeller of a ship starts from rest and accelerates at 2.3
    7·1 answer
  • How long would it take 150kg person to hit after the same jump?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!