How much time does it take to warm 2 litres water

[mahima]

A resistance of 5(ohms) is connected to a 100V supply. If this resistance increase with temperature of 1 litre of water in 10 minutes by 1(oC-degree celsius), how much time it will take to increase temperature of 2 litres of water by 1(oC) if voltage is increased to 200V...

Can I have an answer with solution...

 

[berkeman]

Thread moved to Homework Help Intro Physics.

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How would you start this problem?...

 

[Moetasim]

I am unable to provide an exact answer without further information and a specific experimental setup. However, I can provide a general explanation of the factors that may affect the time it takes to warm 2 liters of water.

Firstly, the time it takes to warm water depends on the amount of energy transferred to the water per unit time, which is determined by the power of the heat source. In this case, the power can be calculated using the formula P = V^2/R, where V is the voltage and R is the resistance. So, with a voltage of 100V and a resistance of 5 ohms, the power would be 20 watts.

Next, the rate at which water absorbs heat is affected by its specific heat capacity, which is the amount of energy required to raise the temperature of 1 gram of water by 1 degree Celsius. This value is constant for water and is approximately 4.186 joules per gram per degree Celsius.

Using these values, we can estimate the time it would take to increase the temperature of 2 liters (2000 grams) of water by 1 degree Celsius. Since we know that 1 liter (1000 grams) of water takes 10 minutes to increase by 1 degree Celsius, we can use this as a reference point. With a power of 20 watts, it would take 20000 joules of energy to heat 2000 grams of water by 1 degree Celsius. And since it takes approximately 4.186 joules per gram per degree Celsius, it would take 20000/4.186 = 4785.4 seconds or approximately 80 minutes to heat 2 liters of water by 1 degree Celsius.

However, this calculation assumes that all the energy from the heat source is transferred to the water, which may not be the case in a real-world experiment. Other factors such as heat loss to the surroundings and the efficiency of the heat source may also affect the time it takes to warm the water.

In conclusion, without a specific experimental setup and more information, it is difficult to provide an exact answer. The time it takes to warm 2 liters of water would depend on the power of the heat source, the specific heat capacity of water, and other factors such as heat loss and efficiency.