The temperature of an ideal gas in a sealed 0.1 m3 container is reduced from 430 K to 270 K. The final pressure of the gas is 70 kPa. The molar heat capacity at constant volume of the gas is 28.0 J/mol · K. The work done by the gas is closest to:a) -42

b) -54

c) 54

d) 42

e) 0.00

Thus, the heat absorbed by the gas is closest to 13.97 kJ

Explanation:

First we have to calculate the moles of gas.

Using ideal gas equation:

PV=nRT

where,

P = Pressure of gas = 70 kPa  = 70000 Pa

V = Volume of gas = 0.1m^3

n = number of moles = ?

R = Gas constant =

T = Temperature of gas = 270K

Putting values in above equation, we get:

Heat released at constant volume is known as internal energy.

The formula used for change in internal energy of the gas is:

where,

= heat at constant volume = ?  

= change in internal energy

n = number of moles of gas = 3.118 moles

= heat capacity at constant volume gas = 28.0 J/mol.K

= initial temperature = 430 K

= final temperature = 270 K

Now put all the given values in the above formula, we get:

Thus, the heat absorbed by the gas is closest to 13.97 kJ

do you have a formula possibly

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)