Can someone help with a really tough physics problem?

[JohnH2079]

I am having a tough time with a problem on my physics homework. It's actually sort of three problems in the part A B and C type thing. If anyone can explain how to do any or all of the part i would appreciate it.A. A gas is at 20˚ C. To what temperature must it be raised to double the average speed of its molecules?B. Suppose you pour 100 cm3of ice water at 0 ºC into a Styrofoam container partially filled with water at 80 ºC and determine that the mixture reaches 60 ºC. How much water was in the Styrofoam container to start with?C. A student pours 1 kg of hot water at 97 °C into a 2 kg pan which has an initial temperature of 70 °C. The specific heat capacity of the pan is 0.2 cal/gC°. If all the heat lost by the water goes into heating the pan, what will be the final temperature of the water and pan? I'm not necessarily just looking for answers but rather how to do it. I'm not very good at physics and want to get better. Thanks in advance.

[SP4951]

a. you might use T ~ V^2 (ignoring a bunch of constants). V ~ sqrt(T) so you would need to raise the temp by four times to double the avg speed (remember to use Kelvin).b. this is a transfer of thermal energy problem:Q = m x delta T x CpFind Q before and after and solve for the missing part (mass). Assume that 1 cm3 of water has a mass of 1 g. Watch the units.c.Same approach for this one, but now you need the Cp for the pan.