Rubber composition for tires and tire

A rubber composition for tires, comprising a rubber component (A) that contains a synthetic isoprene having a weight-average molecular weight (Mw) of 800,000 or more, a molecular weight distribution (Mw/Mn) of 2.5 or less, and a cis-1,4-bond content of 96% or more, a carbon black (B), and a carbon black dispersant (C) of at least one selected from a compound represented by any of the following general formulae (1) to (6), and a salt, a solvate and a solvate of the salt of a compound represented by the following general formula (5):

• wherein,
• in the general formula (1), A11 represents an aryl group, a hydantoin skeleton-having group or a linear hydrocarbon group with 1 to 18 carbon atoms, which may have at least one polar group;
• R11 and R12 each independently represent a hydrogen atom, an acyl group, an amide group, an alkyl group, a cycloalkyl group or an aryl group;
• in the general formula (2), A21 represents an aryl group, a hydantoin skeleton-having group or a linear hydrocarbon group with 1 to 18 carbon atoms, which may have at least one polar group;
• R21 represents an alkanediyl group, a cycloalkanediyl group or an arenediyl group;
• in the general formula (3), A31 represents an arenediyl group, a hydantoin skeleton-having group or a linear hydrocarbon group with 1 to 18 carbon atoms, which may have at least one polar group;
• R31 and R32 each independently represent an alkanediyl group, a cycloalkanediyl group or an arenediyl group;
• in the general formula (4), R41 represents an alkanediyl group with 1 to 6 carbon atoms;
• in the general formula (5), R51 represents an alkanediyl group with 1 to 12 carbon atoms, a cycloalkanediyl group with 3 to 12 carbon atoms, or —B51-A51-B52—;
• A51 represents an arenediyl group with 6 to 12 carbon atoms;
• B51 and B52 each independently represent a single bond or an alkanediyl group with 1 to 12 carbon atoms;
• R52 and R53 each independently represent a hydrogen atom, a halogen atom, an alkyl group with 1 to 6 carbon atoms, an aryl group with 6 to 12 carbon atoms, a hydroxy group, or an alkoxy group with 1 to 6 carbon atoms, or bonding to each other to form a cyclic structure;
• R54 represents a hydroxy group, an alkoxy group with 1 to 6 carbon atoms, an aryloxy group with 6 to 12 carbon atoms, an arylalkoxy group with 7 to 15 carbon atoms, —NR55R56 or —O—((Y51)n+)1/n;
• R55 and R56 each independently represent a hydrogen atom, an alkyl group with 1 to 6 carbon atoms, or an aryl group with 6 to 12 carbon atoms;
• (Y51)n+ represents an n-valent cation capable of forming a carboxylate salt;
• and X51 represents —NH— or —O—;
• and
• in the general formula (6), R61 and R62 each independently represent a hydrogen atom or an alkyl group with 1 to 6 carbon atoms, or bonding to each other to form a cyclic structure;
• (M61)n+ represents H+or an n-valent metal ion;
• m represents an integer of 2 to 9;
• and n represents an integer of 1 or 2;
• and
• wherein the content of components having a molecular weight of less than 200,000 in the synthetic isoprene is less than 10% by mass.