Please help me answer the following questions: 1. A balloon at atmospheric press

Question

Please help me answer the following questions:

1. A balloon at atmospheric pressure and room temperature (23c) has a volume of 1 L. If the pressure remains constant and the balloon doesn't leak, at what temperature will the balloon have a volume of 1.4 L?

2. The specific heat of water and Al are 4186(J/kg^c) and 900(J/kg^c) respectively.

              A) If 0.2kg of water at 0c is added to a 0.2kg of water at 20c. What is the final temperature?

              B) If 0.2kg of water at 0c is added to a 0.2kg of Al at 20c. What is the final temperature?

3. A liquid is inside a hollow glass rod. At 25c, the liwuid is 2m long inside the rod. The liquid has a linear coefficient of 13x10^-6(1/c). At what temperature will the liquid expand by 1mm?

4. At 25c there was 0.5 mm gap between the liquid and the glass. The linear coefficient of expansion for the glass is 5x10^-6(1/c). After the liquid and glass are heated, does the liquid close the gap? WHY?

****PLEASE SHOW ANY FORMULAS USED AND SHOW YOUR WORK!*****

                ***The person with the CORRECT answers and the FASTEST time will have the highest rating!***

                                      ***c stands for celsius!***

                                                                                          THANK YOU :-)     

Explanation / Answer

so from the concept we see that as it is not leakin g we can conserve the moles and also given pressure remains constant so we can apply v/T = constant

so 1/296 = 1.4/T2

so we get T2 = 141.4 C is the temp final

3.delta l = l[alpha] [T2-T1]

1mm =2[13*10^-6][T2-298]

therefore final temp T2 = 336K temp

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