Calculating the Temperature Change of Water After a Raindrop Strike

In summary, the conversation discusses the change in temperature of water when a raindrop with a mass of 1.00g and a speed of 40m/s hits the surface of 100g of water in a drinking glass. The question assumes that all of the kinetic energy of the raindrop is converted to energy that changes the water's temperature and that the initial temperature of the raindrop and the water in the glass were the same. The equation needed is "heat lost by 1g = heat gained by 100g" and the formula "heat gained or lost = m*C*ΔT".
  • #1
larry21
10
0
A raindrop (mass=1.00g) is traveling at a speed of 40m/s when it hits the surface of 100g of water contained in a drinking glass. What is the change in temperature of the water in the glass if we assume that i)all the kinetic energy of the raindrop is converted to energy that changes the water's temperature, and ii)the water in the glass and the raindrop were at the same original temperature?

I found the kinetic energy of the raindrop, but I don't know what to do after that. Please help. Thanks.
 
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  • #2
You need the equation "heat lost by 1 g = heat gained by 100 g"
and the formula "heat gained or lost = m*C*ΔT"
 

1. How do you calculate the temperature change of water after a raindrop strike?

The temperature change of water after a raindrop strike can be calculated using the formula Q = m x c x ΔT, where Q is the heat energy absorbed by the water, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.

2. What is the specific heat capacity of water?

The specific heat capacity of water is 4.186 joules per gram per degree Celsius (J/g°C). This means that it takes 4.186 joules of energy to raise the temperature of 1 gram of water by 1 degree Celsius.

3. How does the mass of water affect the temperature change after a raindrop strike?

The greater the mass of water, the greater the temperature change after a raindrop strike. This is because a larger mass of water requires more energy to raise its temperature compared to a smaller mass.

4. What other factors can affect the temperature change of water after a raindrop strike?

Other factors that can affect the temperature change of water after a raindrop strike include the temperature of the raindrop, the height from which the raindrop falls, and the initial temperature of the water. Additionally, the presence of impurities or dissolved substances in the water can also affect the temperature change.

5. Is the temperature change of water after a raindrop strike a significant amount?

The temperature change of water after a raindrop strike is typically very small, often less than 1 degree Celsius. However, in some cases, such as heavy rainfalls or small bodies of water, the temperature change may be more noticeable. Additionally, the cumulative effect of multiple raindrop strikes can result in a larger temperature change.

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