Lucia is playing with magnetic toy vehicles. She has two identical toy vehicles (purple and pink) that start on opposite sides o
f a center magnet that cannot move. She moves both vehicles one space closer to the center magnet.
How did the potential energy of the two vehicles change? Did the potential energy of one vehicle change more than the other? Why do you think so?
How did the potential energy of the two vehicles change? Did the potential energy of one vehicle change more than the other? Why do you think so?
2 answers:
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<u>Answer:</u> The final temperature of the mixture is 49°C
<u>Explanation:</u>
To calculate the mass of water, we use the equation:
- <u>For cold water:</u>
Density of cold water = 1 g/mL
Volume of cold water = 230.0 mL
Putting values in above equation, we get:
- <u>For hot water:</u>
Density of hot water = 1 g/mL
Volume of hot water = 120.0 mL
Putting values in above equation, we get:
When hot water is mixed with cold water, the amount of heat released by hot water will be equal to the amount of heat absorbed by cold water.
The equation used to calculate heat released or absorbed follows:
......(1)
where,
q = heat absorbed or released
= mass of hot water = 120 g
= mass of cold water = 230 g
= final temperature = ?°C
= initial temperature of hot water = 95°C
= initial temperature of cold water = 25°C
c = specific heat of water = 4.186 J/g°C
Putting values in equation 1, we get:
Hence, the final temperature of the mixture is 49°C
Answer:
310.69K
Explanation:
Given parameters:
Initial temperature T₁ = 292K
Initial pressure P₁ = 1.25atm
Final pressure P₂ = 1.33atm
Unknown:
Final temperature T₂ = ?
Solution
To find the unkown, we need to apply the combined gas law. From the combined gas law, it can be deduced that at constant volume, the pressure of a give mass or mole of gas varies directly with the absolute temperature.
Since the same aerosol can is heated, the volume is constant.
=
Now, we have to make T₂ the subject of the formula:
T₂ =
T₂ = = 310.69K