An uncharged molecule of dna (deoxyribonucleic acid) is 2.14 µm long. the ends of the molecule become singly ionized so that there is a charge of −1.6 × 10−19 c on one end and +1.6 × 10−19 c on the other. the helical molecule acts like a spring and compresses 1.4% upon becoming charged. find the effective spring constant of the molecule. the value of coulomb’s constant is 8.98755 × 109 n · m2 /c 2 and the acceleration due to gravity is 9.8 m/s 2 . answer in units of n/m.

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1. how much energy is needed to raise the temperature of 40.0 g of argon from 25c to 40c? the specific heat capacity of argon is 0.520 j/(g·k) 2a. 23.0 ml of 0.100 m hcl (standard) are added from a buret to neutralize 50.0 ml of an unknown basic solution. 2b. if the oh- produced in the previous reaction came from ca(oh)2, then what is the molarity of the ca(oh)2? 3.calculate the new freezing-point of a solution when 60.5 grams of cacl2 solute is dissolved in 0.612 kg of water. 4. what is the maximum number of moles of alcl3 that can be produced from 5.0 mol al and 6.0 mol cl2? 5. a sample of oxygen gas has a volume of 150 ml when its pressure is 0.923 atm. if the pressure is increased to 0.987 atm and the temperature remains constant, what will the new volume be? 6. nitrogen gas in a closed container at a temperature of 100.0 oc and 3.0 atm is heated to 300 oc. what is the pressure of the gas at the higher temperature?

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