Acluster of galaxies has a radius of about 4.8 million light-years (4.5×1022 m ) and an intracluster medium with a temperature of 6.0×107 k . [hint: consult mathematical insight 23.3.]
1) estimate the mass of the cluster. give your answer in both kilograms and solar masses. suppose the combined luminosity of all the stars in the cluster is 7.5×1012 lsun .
express your answer using two significant figures.
m=
2) express your answer using two significant figures.
m=
3) what is the cluster's mass-to-light ratio?
express your answer using two significant figures.

Any color picture tube and electric field exerts a net force of magnitude 1.68x 10^-13 n on an electron the rest mass of an electron is 9.11 x 10^-13 what is the electron acceleration?

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?

The softest and hardest minerals are: softest hardest