Three moles of an ideal gas with a molar heat capacity at constant volume of 4.9 cal/(mol∙k) and a molar heat capacity at constant pressure of 6.9 cal/(mol∙k) starts at 300 k and is heated at constant pressure to 320 k, then cooled at constant volume to its original temperature. how much heat flows into the gas during this two-step process?

The heat flows into the gas during this two-step process is 120 cal.

Explanation:

Given that,

Number of moles = 3

Heat capacity at constant volume = 4.9 cal/mol.K

Heat capacity at constant pressure = 6.9 cal/mol.K

Initial temperature = 300 K

Final temperature = 320 K

We need to calculate the heat flow in to gas at constant pressure

Using formula of heat

Put the value into the formula

We need to calculate the heat flow in to gas at constant volume

Using formula of heat

Put the value into the formula

We need to calculate the heat flows into the gas during two steps

Using formula of total heat

Hence, The heat flows into the gas during this two-step process is 120 cal.

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

-reverse card

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s