The question, as stated, cannot be answered sensibly. A quart is a measure of volume, with dimensions [L3]. A gram is a measure of mass, with dimensions [M]. The two measure different things and elementary dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.
As a simple mental exercise consider a quart of air and of water. They will have very different masses.
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There is no equivalence. A gram is a measure of mass. A quart is a measure of volume. The two measure different things and,according to basic principles of dimensional analysis, conversion from one to the other is not valid. If you are not convinced, consider a quart of air. How many grams? Next consider a quart of water. How many grams? The masses of equal volumes of the two substances will clearly be very different. So there is no direct conversion between mass and volume: you need to know the density of the substance to enable you to carry out the conversion.
2 pints in a quart
One US quart is about 0.000946353 cm3
0.125 1 gallon = 4 quarts 1 quart = 0.25 gallon
If, and only if, the substance is pure water, then 1Imperial Quart = 2Pint = 2x568 ml 1USAPint = 473 ml and these ml of volume are exactly a gram each in weight if it is pure water. Answer :- call the millilitres grams Grams are a measure of weight while quart measures volume. The two are not comparable unless, as pointed out in the answer above, you are dealing with a specific substance.