Ascientist is trying to perform cold fusion by continuously mixing gases at various flow rates and compositions to find a condition to initiate cold fusion. in the most recent failed attempt there was an inlet stream of hydrogen, oxygen and argon. that inlet stream was 70 mol percent oxygen and 20 mol percent hydrogen and it was mixed with a pure helium stream that was fed at a rate three times the other inlet stream. during the mixing process a molecular sieve was used to separate the gases in a way that there were two exit streams. one exit stream had all the hydrogen and helium that entered the system; it's flow rate was 100 ibmol/hr. the other exit stream had leftover gases and had a flow rate of 80 ibmol/hr where the mass fraction was 0.3 for argon. [15 pts tytodathe diagamagam cambe found in the supplementl homeworkshe a. how many independent stream variables are there? b. how many known, given pieces of information (i. e. it is not an equation) are provided? c. how many independent material balances can you perform? d. are there any additional relationships (process specifications) provided? e. what are the degrees of freedom? f. if the degrees of freedom is 0, calculate the molar composition of each exiting stream, and the flow rates for each inlet stream. if the problem cannot be solved, explain why and what information eliminated or needs to be provided for the problem to be solvable. (if you need to provide or remove information, only list the appropriate number of values to bring your degrees of freedom to zero).