An ideal gas has CP $=3\mathrm{.}5$R and CV $=2\mathrm{.}5$R$.$ When it is heated at constant pressure, Which of the following statements are true?A$.$Heat is added to the system for the amount of $3\mathrm{.}5$Rincrement T$.$ B$.$The ratio of increment U colon Q colon W is $5$ : $7$ : $2$ and work is done by the system. C$.$The ratio of increment U colon Q colon W is $5$ : $7$ : $-2$ and work is done by the system. D$.$Heat is released from the system and is equal to $2\mathrm{.}5$Rincrement T$.$ E$.$The change in enthalpy is equal to the heat added to the system. F$.$The change in enthalpy is equal to $2\mathrm{.}5$Rincrement T$.$