A container has O2 at 5 atm and molar volume 2 liter/mole, if a = 9.24 atm(liter/mole), b = 0.0907 liter/mole, what is the temperature of O2? (Use vander waal equation)

A container has H2 at 27oC and molar volume 1 liter/mole, if a = 9.24 atm(liter/mole), b = 0.0907 liter/mole, what is the temperature of H2? (Use vander waal equation)

A

7.5 atm

B

12.4 atm

C

15.6 atm

For 5 moles of an ideal gas, Condition I: Pressure = 1 atm, Volume = 2 L, Temperature = 27 Degree Celsius Condition II: Pressure = P atm, Volume = V L, Temperature = T K. 5. If The Pressure and Volume in the II condition are 2 atm and 4 L, what is the temperature (T) of the gas?

A

300 K

B

600 K

C

900 K

D

1200 K

There are five containers in a truck hold. The weight of the first container is 100 kg and the weight of the second container is 20% higher than the weight of the third container, whose weight is 25% higher than the first container’s weight. The fourth container at 175 kg is 30% lighter than the fifth container. What is the difference in the average weight of the heaviest three and the lightest three?

A

33.33 kg

B

66.66 kg

C

75 kg

D

112.5 kg

E

None of these

A person has 3 containers (cylindrical, spherical, and hemispherical) full of water. The radius of each container is equal and the height of the cylindrical container is 14 m. If the volume of the cylindrical container is 396 m3 and water from all three containers is put in the big cuboidal container whose length and breadth is 20 m and 12 m. How much water rises in a cuboidal container?

A

33/14 m

B

33/7 m

C

66/7 m

D

22/7 m

It takes 5 hours to fill a container using machine A. The same container can be filled using machine B in 10 hours. When the container is full, Machine C can fully empty the container in 20 hours. If all three machines start working on the same empty container how long will it take for the container to be completely filled,

A

12 hour

B

4 hour

C

2 hour

D

15 hour

A container has two gases at 27oC, one with molar volume 6 L/mole, another with molar volume 3 L/mole, what is the total pressure of the container?

A

6.9 atm

B

8.5 atm

C

12.3 atm

In which of the following conditions distance between molecules of carbon dioxide filled in a container may increase? (i) On increasing the volume of container (ii) On leakage of some carbon dioxide gas from the container (iii) On increasing air pressure in the container (iv) On adding more carbon dioxide gas in container without changing its size

A

(ii) and (iii)

B

(iii) and (iv)

C

(i) and (iii)

D

(i) and (ii)

In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Two containers each contain some balls of Red and Blue color. Now all the balls of these two containers are mixed into a single third container which also contained some Red and Blue color balls initially as well. If 5 balls are taken out, then find the probability that all the balls taken out are Red in color. Statement 1∶ Total number of balls finally in 3rd container is 135. Statement 2∶ Ratio of balls in 1st container and 2nd container is 2 ∶ 7 Statement 3∶ Ratio of Red and Blue balls in 3rd container before mixing is 2 ∶ 3

A

Only statement 1 is sufficient to answer the question.

B

Only statement 1 and 2 are sufficient to answer the question.

C

Only statement 2 and 3 are sufficient to answer the question.

D

All the statements are sufficient to answer the question.

E

All the statements are not sufficient to answer the question.

A container is filled with a gas at 10 atm with molar volume 1 liter/mole, if B = – 0.053 liter/mole, C = 0.0026 liter2/mole2, what is the temperature of gas? (Use virial equation, neglect higher terms)

A

128.2 K

B

156.9 K

C

198.5 K

If the vander waal equation has only one root, what is the relation between a and b?

A

729a = pb2

B

243a = pb2

C

81a = pb2

A container has O2 at 5 atm and molar volume 2 liter/mole, if a = 9.24 atm(liter/mole), b = 0.0907 liter/mole, what is the temperature of O2? (Use vander waal equation)

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