Atank is filled with an ideal gas at 400 k and pressure of 1.00 atm.
the tank is heated until the pressure of thegas in the tank doubles. what is the temperature of the gas?
200\rm k
400\rm k
600\rm k
800\rm k
correct

To find the temperature it is necessary to use the expression and concepts related to the ideal gas law.

Mathematically it can be defined as

Where

P = Pressure

V = Volume

n = Number of moles

R = Gas constant

T = Temperature

When the number of moles and volume is constant then the expression can be written as

Or in practical terms for this exercise depending on the final temperature:

Our values are given as

Replacing

Therefore the final temperature of the gas is 800K

current flows in a wire

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.