Answer
The formulas are as follows:
a) $C_{9}H_{16}$
b) $C_{22}H_{44}$
c)$C_{10}H_{22}$
Work Step by Step
a) Alkynes have the general formula of $C_{n}H_{2n-2}$. We have to write formula for an alkyne having 16 H atoms. hence,$ 2n-2 = 16$
By solving this equation we get $n= 9$
Hence, the formula is $C_{9}H_{16}$
b) Alkenes have the general formula of $C_{n}H_{2n}$ We have to write formula for an alkene having 44 H atoms. hence,$ 2n = 44$
By solving this equation we get $n= 22$
Hence, the formula is $C_{22}H_{44}$
c) Alkanes have the general formula of $C_{n}H_{2n+2}$ We have to write formula for an alkene having 10 C atoms. hence,$ n = 10$
$ \therefore 2n +2 = 10.2+2 = 22$
Hence, the formula is $C_{10}H_{22}$