How will you distinguish between dilute hydrochloric acid and dilute sulphuric acid using lead nitrate solution?

Explanation

On adding lead nitrate to both acids, we will get a white precipitate. On heating the solution, the one whose precipitate will redissolve will be dil. HCl and the one with insoluble precipitate will be dil. `H_2SO_4`.
Actually on adding lead nitrate to HCI, `PbCl_2` precipitates out and on heating the solution it redissolves. But in case of `H_2SO_4, PbSO_4` is formed which is insoluble even on heating it and white in colour.
`Pb(NO_3)_2 + underset("(dil.)")(2HCl) rarr PbCl_2 + 2HNO_3`
`Pb(NO_3)_2 + underset("(dil.)")(H_2SO_4) rarr PbSO_4 + 2HNO_3`