Answer:
1.62 L
Explanation:
Charle's law for ideal gases states that for a gas kept at constant pressure, the ratio between volume and temperature is constant:

where in this problem we have
is the initial volume of the gas
is the initial temperature of the gas
is the final volume of the gas
is the final temperature
Solving the equation for V2, we find

0.4 x 18 = 7.2 kg m/s
The momentum of the bottle after being hit is 0.2 x 25 = 5 kg m/s
7.2 - 5 = 2.2 kg m/s is the motmentum of the ball now
the velocity is 2.2/0.4 = 5.5 m/s
Answer:
The amount of energy needed to raise the temperature of the cylinder by 25 °C is 23.3 KJ of heat.
Explanation:
The step by step calculation can be found in the attachment below. Thank you.
Explanation:
Equation for energy balance will be as follows.


Hence, 
Therefore, we will calculate the final temperature as follows.

= 868.03 R
Now, we will calculate the mass as follows.
m = 
= 
= 1.031 lbm
Hence,

Putting the values into the above equation as follows.


= 655.2 Btu
Thus, we can conclude that work done by paddle wheel is 655.2 Btu.